If a star emitting light of wavelength 500 nm is moving towards earth with a velocity of 1.5 × 106 m / s then the shift in the wavelength due to doppler's effect will be:

Question

If a star emitting light of wavelength 500 nm is moving towards earth with a velocity of 1.5 × 106 m / s then the shift in the wavelength due to doppler's effect will be: (A) 25 mathringA (B) 250 mathringA (C) 2.5 mathringA (D) Zero

Tardigrade Admin · Accepted Answer

λ'=λ(1-(v/c))=5000(1-(1.5 × 106/3 × 108)) mathringA λ'=4975 mathringA Δ λ=25 mathringA

Q. If a star emitting light of wavelength $500 nm$ is moving towards earth with a velocity of $1.5 \times 1 0^{6} m / s$ then the shift in the wavelength due to doppler's effect will be:

$25 \overset{˚}{A}$

$250 \overset{˚}{A}$

$2.5 \overset{˚}{A}$

Zero

$λ^{'} = λ (1 - \frac{v}{c}) = 5000 (1 - \frac{1.5 \times 1 0 ^{6}}{3 \times 1 0 ^{8}}) \overset{˚}{A}$
$λ^{'} = 4975 \overset{˚}{A}$
$Δ λ = 25 \overset{˚}{A}$

Q. If a star emitting light of wavelength 500nm is moving towards earth with a velocity of 1.5×106m/s then the shift in the wavelength due to doppler's effect will be:

25A˚

250A˚

2.5A˚